Mathematics Question and Solution
Calculating Area Blue.
Let x be the side length of the ascribed square, equal a side length of the inscribed regular triangle.
Calculating x.
½*x*xsin60 = 16
¼√(3)x² = 16
√(3)x² = 64
x = √(64/√(3))
x = 6.07868548521 cm.
y = ½(x)
y = ½(6.07868548521)
y = 3.03934274261 cm.
cos30 = 3.03934274261/a
a = 3.50953070121 cm.
a is the side length of the required blue regular triangle area.
Required blue area is;
0.5*3.50953070121²sin60
= ⅓(16) cm²
